915252000 has 192 divisors, whose sum is σ = 3229559424. Its totient is φ = 225254400.

The previous prime is 915251971. The next prime is 915252031. The reversal of 915252000 is 252519.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153067 + ... + 158933.

It is an arithmetic number, because the mean of its divisors is an integer number (16820622).

Almost surely, 2^915252000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 915252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614779712).

915252000 is an abundant number, since it is smaller than the sum of its proper divisors (2314307424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

915252000 is a wasteful number, since it uses less digits than its factorization.

915252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5908 (or 5890 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 915252000 is about 30253.1320692585. The cubic root of 915252000 is about 970.9128049704.

The spelling of 915252000 in words is "nine hundred fifteen million, two hundred fifty-two thousand".